Atkin-Lehner |
2- 3- 11+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104346bs |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
991232 |
Modular degree for the optimal curve |
Δ |
100998566816792832 = 28 · 317 · 11 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-340070,74868725] |
[a1,a2,a3,a4,a6] |
j |
5966229440104377625/138543987403008 |
j-invariant |
L |
5.3706855911713 |
L(r)(E,1)/r! |
Ω |
0.33566784729092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34782l1 |
Quadratic twists by: -3 |